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Finding the Fourth Proportional to 9,516.76, 13,133.14 and 5,325

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Solution

The fourth proportional to 9,516.76, 13,133.14 and 5,325 is: 7,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.76 : 13,133.14 = 5,325 : x
  2. Step 2: Convert to fraction form
    9,516.76/13,133.14 = 5,325/x
  3. Step 3: Cross multiply
    9,516.76x = 13,133.14 × 5,325
  4. Step 4: Simplify right side
    9,516.76x = 69,933,970.50
  5. Step 5: Solve for x
    x = 69,933,970.50/9,516.76
  6. Step 6: Final answer
    x = 7,348.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.